You notice that the following problem cannot be factored so you solve it by completing the square.
What value of c would make the left-hand side of this equation a perfect square trinomial?
x2 −14x + c = 13
2
−
14
+
=
13
(1 point)
Responses
196
196
49
49
-14
-14
4
4
-7
First, we should start by rearranging the equation:
x^2 - 14x + c = 13
x^2 - 14x = 13 - c
To complete the square, we need to find the value of c that will make the left-hand side a perfect square trinomial.
To complete the square for x^2 - 14x, we take half of the coefficient of x (which is -14) and square it:
(-14/2)^2 = (-7)^2 = 49
Therefore, the value of c that would make the left-hand side a perfect square trinomial is 49.